d[ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiatingddt'dtthe product directly and then by applying the formulasd[ri(t) r2(t)] = r1(t) ·dr2drir2(t) anddtdtdtdrix r2(t).ddr2ri(t) x r2(t)] =r¡(t) xdtdtdtri(t) = cos(t)i + sin(t)j+ 5tk, r2(t) = 4i + tkdar:(e) - r2(t}] – (dr (t) x r2(t)] :dt

Answered: Image /qna-images/answer/a3585216-d87a-4093-abb0-36047a99bb96.jpg

d Calculate ri(t) r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly and then by applying the formulas d dri r:(t) · r2(t)] = r(t) · dr2 + dt r2(t) and dt dt dr2 dri x r2(t). d [ri(t) × r2(t)] = r1(t) × dt dt dt ri(t) = cos(t)i+ sin(t)j+ 5tk, r2(t) = 4i + tk %3D d ri(t) · r2(t)] : %3D dt' d di ri(t) × r2(t)] %3D

d Calculate ri(t) r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly and then by applying the formulas d dri r:(t) · r2(t)] = r(t) · dr2 + dt r2(t) and dt dt dr2 dri x r2(t). d [ri(t) × r2(t)] = r1(t) × dt dt dt ri(t) = cos(t)i+ sin(t)j+ 5tk, r2(t) = 4i + tk %3D d ri(t) · r2(t)] : %3D dt' d di ri(t) × r2(t)] %3D

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 70EQ

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